Solve by Graphing 3x-4y=-20 3x-2y=-4

$3 x - 4 y = - 20$ $3 x - 2 y = - 4$

Step 1

Subtract $3 x$ from both sides of the equation.

$- 4 y = - 20 - 3 x$

$3 x - 2 y = - 4$

Step 2

Divide each term in $- 4 y = - 20 - 3 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 20 - 3 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 20}{- 4} + \frac{- 3 x}{- 4}$

$3 x - 2 y = - 4$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 20}{- 4} + \frac{- 3 x}{- 4}$

$3 x - 2 y = - 4$

Divide $y$ by $1$ .

$y = \frac{- 20}{- 4} + \frac{- 3 x}{- 4}$

$3 x - 2 y = - 4$

$y = \frac{- 20}{- 4} + \frac{- 3 x}{- 4}$

$3 x - 2 y = - 4$

$y = \frac{- 20}{- 4} + \frac{- 3 x}{- 4}$

$3 x - 2 y = - 4$

Simplify the right side.

Simplify each term.

Divide $- 20$ by $- 4$ .

$y = 5 + \frac{- 3 x}{- 4}$

$3 x - 2 y = - 4$

Dividing two negative values results in a positive value.

$y = 5 + \frac{3 x}{4}$

$3 x - 2 y = - 4$

$y = 5 + \frac{3 x}{4}$

$3 x - 2 y = - 4$

$y = 5 + \frac{3 x}{4}$

$3 x - 2 y = - 4$

$y = 5 + \frac{3 x}{4}$

$3 x - 2 y = - 4$

Step 3

Subtract $3 x$ from both sides of the equation.

$- 2 y = - 4 - 3 x$

$y = 5 + \frac{3 x}{4}$

Step 4

Divide each term in $- 2 y = - 4 - 3 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 4 - 3 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 4}{- 2} + \frac{- 3 x}{- 2}$

$y = 5 + \frac{3 x}{4}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 4}{- 2} + \frac{- 3 x}{- 2}$

$y = 5 + \frac{3 x}{4}$

Divide $y$ by $1$ .

$y = \frac{- 4}{- 2} + \frac{- 3 x}{- 2}$

$y = 5 + \frac{3 x}{4}$

$y = \frac{- 4}{- 2} + \frac{- 3 x}{- 2}$

$y = 5 + \frac{3 x}{4}$

$y = \frac{- 4}{- 2} + \frac{- 3 x}{- 2}$

$y = 5 + \frac{3 x}{4}$

Simplify the right side.

Simplify each term.

Divide $- 4$ by $- 2$ .

$y = 2 + \frac{- 3 x}{- 2}$

$y = 5 + \frac{3 x}{4}$

Dividing two negative values results in a positive value.

$y = 2 + \frac{3 x}{2}$

$y = 5 + \frac{3 x}{4}$

$y = 2 + \frac{3 x}{2}$

$y = 5 + \frac{3 x}{4}$

$y = 2 + \frac{3 x}{2}$

$y = 5 + \frac{3 x}{4}$

$y = 2 + \frac{3 x}{2}$

$y = 5 + \frac{3 x}{4}$

Step 5

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

$(4, 8)$

Step 6

Solve by Graphing 3x-4y=-20 3x-2y=-4

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